A parallelepiped is a prism whose faces are all parallelograms. Let A, B, and C be the
Question:
A parallelepiped is a prism whose faces are all parallelograms. Let A, B, and C be the vectors that define the parallelepiped shown in the figure. The volume V of the parallelepiped is given by the formula V = |(A * B)C|.
Find the volume of a parallelepiped if the defining vectors are A = 3i - 2j + 4k, B = 2i + j - 2k, and C = 3i - 6j - 2k.
Transcribed Image Text:
C. B A
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 40% (10 reviews)
ij jk AXB3 2 4 2 1 2 ...View the full answer
Answered By
Sandhya Sharma
I hold M.Sc and M.Phil degrees in mathematics from CCS University, India and also have a MS degree in information management from Asian institute of technology, Bangkok, Thailand. I have worked at a international school in Bangkok as a IT teacher. Presently, I am working from home as a online Math/Statistics tutor. I have more than 10 years of online tutoring experience. My students have always excelled in their studies.
4.90+
119+ Reviews
214+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Refer to Problem 55. Find the volume of a parallelepiped whose defining vectors are A = (1,0,6), B = (2,3,8) and C = (8,-5,6). Problem 55 A parallelepiped is a prism whose faces are all...
-
A rectangular parallelepiped has sides of length 3 cm, 4 cm, and 5 cm, measured to the nearest centimeter. What are the best upper and lower bounds for the volume of this parallelepiped? What are the...
-
Find the temperature distribution T(x, y) and the complex potential F(z) in the given thin metal plate whose faces are insulated and whose edges are kept at the indicated temperatures or are...
-
You will act as a senior HR manager of a very large, publicly traded company known as XYZ Inc. The CEO of XYZ Inc. has asked you to prepare an important orientation presentation for the global HR...
-
For each journal entry in your answer to Exercise 3.18, (a) indicate the source document that would most probably authorize the entry and (b) give a description of the entry into the subsidiary...
-
A 6-kg plastic tank that has a volume of 0.18 m 3 is filled with liquid water. Assuming the density of water is 1000 kg/m 3 , determine the weight of the combined system.
-
In the classical model, money is neutral in both the short run and the long run. Explain how the introduction of price misperception and unanticipated change in monetary policy to the classical model...
-
1. How is a strategy different from a business model? How is it similar? 2. Why are Microsoft and Google becoming increasingly direct competitors? 3. Looking at Exhibits MC9.2 and MC9.3, calculate...
-
3. (a) Emma is depositing $4,500 into a fixed account. How long will it take to ac- cumulate to $13, 450 at a nominal interest rate of 93% compounded weekly? Approximate the answer to two decimal...
-
A machine is used to fill cans with motor oil additive. A single sample can is obtained. Since the filling process is automated, it has very stable variability, and long experience indicates that...
-
Find a unit vector normal to the plane containing v = 2i + 3j - k and w = -2i - 4j -3k.
-
Prove for vectors u and v that |u x v| 2 = |u|2|v| 2 (u v) 2 Proceed as in the proof of property (4), computing first the left side and then the right side.
-
Discuss why cash can be affected by purchasing-power risk, and why inventory may or may not be subject to this risk.
-
How do advanced network security mechanisms, such as Intrusion Detection Systems (IDS), Intrusion Prevention Systems (IPS), and Next-Generation Firewalls (NGFW), employ techniques such as anomaly...
-
Below are the total costs at different levels of output for Merkley Corporation: Production Cost X Cost Y Cost Z 9,600 units $13,500 $11,200 $33,600 8,300 units $11,875 $11,200 $29,050 What type of...
-
Amdahl's law gives limits on the maximum possible speedup of programs. What is the maximum possible speedup of the following programs: 1. 10% sequential, 90% parallel, with 4 processors used. 2. 90%...
-
Explain the below answers briefly 1. What are the problems of Jessica's strategy and solutions of UltimateWedding.com? Explain 2. What are the definitions of Profit oriented, Sales oriented, and...
-
How do advanced network monitoring and analytics platforms leverage technologies such as flow analysis, packet capture, and machine learning algorithms to provide real-time visibility into network...
-
Ecolabels such as Energy Star, Green Key, and Audubon International are used by hotels to advertise their energy-saving and conservation policies. The Journal of Vacation Marketing (January 2016)...
-
If someone's Z-score for a variable was 0.67. Their score is a significant extreme score. Their score is not significant. O Their score is slightly above average. O Their score is an outlier.
-
For the following exercises, simplify the expression, and then graph both expressions as functions to verify the graphs are identical. sin (/4 + x)
-
For the following exercises, prove the identity. cos(a + b) cos(a - b) 1 tan a tan b 1 + tan a tan b
-
For the following exercises, simplify each expression. Do not evaluate. cos 2 (9x) sin 2 (9x)
-
In August 2023, the observed yields on 3-month and 6-month Treasury bills were as follows: 3-month rate: 4.88 6-month rate: 4.86 Three months later, in a period of economic turbulence, these rates...
-
Assume that Northern Petroleum Inc. issued the following bond on January 1: Face amount: $100,000 Contract interest rate: 12% Effective interest rate: 12% Interest is paid semiannually on January 1...
-
You are choosing between two projects. The cash flows for the projects are given in the following table ($ million): Project A B Year 0 -$51 - $101 a. What are the IRRS of the two projects? Year 1...
Study smarter with the SolutionInn App